Victor Pérez-Abreu
Probability & Statistics/CIMAT

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Publications on free infinite divisibility

 

1)   Covariation representation for Hermitian Lévy process ensambles of free infinitely divisible distributions, with Armando Dominguez-Molina and Alfonso Rocha-Arteaga, Electronic Communications in Probability, 18, 1-14 (2013).

2)   Free infinite divisibility of free multiplicative mixtures of the Wigner distribution, with Sakuma Noriyoshi. Journal of Theoretical Probability 25, 100-121 (2012).

3)   On the non-classical infinite divisibility of power semicircle distributions, with Octavio Arizmendi. Communications on Stochastic Analysis 4, 161-178.  (2010). In honor of Gopinath Kallianpur.

4)   On free and classical type G distributions, with Octavio Arizmendi and Ole E. Barndorff-Nielsen. Brazilian Journal of Probability and Statistics 24, 106-127. (2010). 

5)   The S-transform for symmetric probability measures with unbounded supports, with Octavio Arizmendi, Proceedings of the American Mathematical Society 137, 3057-3066 (2009).

6)   Free Generalized Gamma Convolutions, with Sakuma Noriyoshi, Electronic Communications in Probability 13, 526-539 (2008).